Resistances between two nodes of a path network

Zhuozhuo Jiang and Weigen Yan

Applied Mathematics and Computation, 2019, vol. 361, issue C, 42-46

Abstract: Considerable progress has recently been made in the development of techniques to exactly determine two-point resistances in networks of various topologies. Given n positive integers m1,m2,…,mn, let P[mi]1n be the network with node set V=V1∪V2∪…∪Vn, where Vi∩Vj=∅ if i ≠ j and |Vi|=mi, and with edge set E={uv|u∈Vi,v∈Vi+1,i=1,2,…,n−1}. In this paper, using triangle-star transformation and the principle of substitution, we express arbitrary two nodes resistances of a path network in terms of the number of their nodes.

Keywords: Resistance; Network; Principle of elimination; Principle of substitution (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:42-46

DOI: 10.1016/j.amc.2019.05.006

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